The judge presiding over the trial, Jed S. Rakoff of the United States District Court in New York, could have reversed the jury’s decision.

The jury issued an advisory ruling on July 7, saying that Mr. Greenberg’s firm, Starr International, had not violated a duty to hold A.I.G. shares after 2005.

During a three-week trial, A.I.G. claimed that an oral trust was created in 1970 solely for the benefit of A.I.G. and its deferred-compensation program, and that Starr International breached that trust in 2005 to retaliate for Mr. Greenberg’s resignation amid an accounting scandal.

“The law will not recognize such an oral trust unless the evidence of its creation is unequivocal,” Judge Rakoff wrote in a 59-page ruling. “This is a burden that A.I.G. has not come close to shouldering.”

On Monday, Judge Rakoff said that because jurors deliberated less than a day to reach a verdict, “it appears the case was not, in the jury’s eyes, a close one.”

“ ‘Put it in writing’ is the law’s way of saying ‘get serious,’ ” Judge Rakoff wrote in his ruling. “In many circumstances, oral commitments are just too slippery to be enforced.”

In a statement on Monday, A.I.G., Mr. Greenberg and Howard I. Smith, the insurer’s former chief financial officer, said that they had reached agreements to enter binding arbitration concerning their legal disputes.

The agreement is a reversal in the contentious relationship between the insurer and the former executives.

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“The parties have concluded that it is preferable to resolve as many of their disputes as possible in a private setting, and in a more expeditious and cost-effective manner,” the statement said.

Separately, A.I.G. has said that its new chief executive, Robert H. Benmosche, regrets comments he made to employees last month at a town hall-style meeting in Houston, where he criticized Andrew M. Cuomo, the New York attorney general. Mr. Cuomo subpoenaed A.I.G. in March during a national furor about $165 million in retention bonuses sent after the firm’s bailout and said those who returned the cash would not have their names published. That month, some employees received death threats.

“What he did is so unbelievably wrong,” Mr. Benmosche said on Aug. 11, according to a record obtained by Bloomberg News. “He doesn’t deserve to be in government, and he surely shouldn’t be the attorney general of the State of New York. What he did is criminal.”

At the meeting last month, Mr. Benmosche also criticized Congressional lawmakers who questioned Mr. Benmosche’s predecessor, Edward M. Liddy, during Congressional hearings this year over his handling of the bonuses.

“I would never, ever let them talk to me the way they talked to him,” Mr. Benmosche told A.I.G. employees. “I would have told them what to do with this job.”

After being approached by Bloomberg on Monday about the remarks, A.I.G. said that Mr. Benmosche “regrets his comments regarding Mr. Cuomo and the tone of those comments.” It also praised Mr. Cuomo for resisting pressure to release the names.

Richard Bamberger, a spokesman for Mr. Cuomo, declined to comment.

A version of this article appears in print on , on Page B3 of the New York edition with the headline: Jury Verdict for Greenberg In A.I.G. Case Is Upheld. Order Reprints|Today's Paper|Subscribe